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12969458496 = 2632412332357
BaseRepresentation
bin11000001010000101…
…00011101101000000
31020110212022202101200
430011002203231000
5203030140132441
65542540301200
7636252402231
oct140502435500
936425282350
1012969458496
115555a15145
12261b541800
1312b8c6a3c7
148b0699088
1550d91c7b6
hex3050a3b40

12969458496 has 168 divisors, whose sum is σ = 38260974024. Its totient is φ = 4197826560.

The previous prime is 12969458479. The next prime is 12969458521. The reversal of 12969458496 is 69485496921.

12969458496 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 94 + 58 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 621804096 + 12347654400 = 24936^2 + 111120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5501350 + ... + 5503706.

It is an arithmetic number, because the mean of its divisors is an integer number (227743893).

Almost surely, 212969458496 is an apocalyptic number.

12969458496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12969458496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19130487012).

12969458496 is an abundant number, since it is smaller than the sum of its proper divisors (25291515528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12969458496 is a wasteful number, since it uses less digits than its factorization.

12969458496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2636 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 12969458496 in words is "twelve billion, nine hundred sixty-nine million, four hundred fifty-eight thousand, four hundred ninety-six".